Express the following invertible matrix A as a product of elementary matrices: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. -6 6 6 A = 9 -8 -12 -3 3 4

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 52PS
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Express the following invertible matrix A as a product of elementary matrices:
You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.
-6 6
6
A = 9 -8 -12
-3 3 4
Number of Matrices: 1
0 0 0
A 0 0 0
=
000
Transcribed Image Text:Express the following invertible matrix A as a product of elementary matrices: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. -6 6 6 A = 9 -8 -12 -3 3 4 Number of Matrices: 1 0 0 0 A 0 0 0 = 000
Express the following invertible matrix A as a product of elementary matrices:
You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.
-2 3
A = 4-4-6
100
Number of Matrices: 1
000
A = 0 0 0
000
3
One possible correct answer is:
[100 1 0 0 0 0 1
-1 1 0
0 1 0
0 0 1
1 0 0
A = 0 2 0
001
Comments:
1 0 0
0 1 0
-2 0 1
1 0 0
0 1 0
0 0 3
1 0 0
0 1 0
0 1 1
Your matrices do not multiply to produce A. Also, not all of your matrices are elementary.
You will receive no marks for your answer.
Note that a product of elementary matrices is equal to the same matrices multiplied on the left of an identity matrix. Thus,
Transcribed Image Text:Express the following invertible matrix A as a product of elementary matrices: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. -2 3 A = 4-4-6 100 Number of Matrices: 1 000 A = 0 0 0 000 3 One possible correct answer is: [100 1 0 0 0 0 1 -1 1 0 0 1 0 0 0 1 1 0 0 A = 0 2 0 001 Comments: 1 0 0 0 1 0 -2 0 1 1 0 0 0 1 0 0 0 3 1 0 0 0 1 0 0 1 1 Your matrices do not multiply to produce A. Also, not all of your matrices are elementary. You will receive no marks for your answer. Note that a product of elementary matrices is equal to the same matrices multiplied on the left of an identity matrix. Thus,
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